Westpac McDermott Miller released a similar finding on Monday but there were some differences in the findings between the two surveys released by the major banks.
The ANZ-Roy Morgan Consumer Confidence Index lifted from 123.9 to 127.8, the highest reading since January.
The long-run average was 119.
ANZ chief economist Cameron Bagrie said June marked the 10th month sentiment had sat north of the long-run average.
The percentage of consumers believing they were better off than they were a year ago fell from 16% last month to 14%.
''The level is highly respectable and no reason to growl. When people feel wealthier they are inclined to spend. We are there.''
A net 45% believed it was a good time to buy a major household item, he said.
The Westpac McDermott Miller survey found the number of households who thought now was a good time to buy such an item had been falling.
Households also reported they had been reining in their spending on leisure activities such as dining out.
Also, the Otago Chamber of Commerce quarterly survey showed consumer and business confidence falling in the region.
However, Mr Bagrie remained optimistic. Net optimism about the economy one year out went from 17% to 25%, and for the five-year outlook, optimism lifted from 15% to 23%. Respondents' views of their own financial situation in 12 months were little changed at 33%, up one point.
Seasonally adjusted estimates showed a three-point lift in headline confidence, no change in current conditions and a four-point increase in future conditions.
''It's tempting to put the uplift down to the 'Simba' - Lions tour - effect but we are not buying into that. There are still plenty of reasons for consumers to be purring.''
The labour market remained on fire, he said. The unemployment rate was falling and the number of vacancies was rising. It was only a question of time before wage growth started to accelerate.
Auckland's house-price growth had turned but the rest of New Zealand was doing fine.
The Government announced a $2 billion family incomes package in Budget 2017, a massive injection into consumers' wallets and the economy, he said.
Inflation expectations were steady at 3.5%. National house-price expectations eased from 4.6% to 4% in June, the lowest since August 2014.
